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| id: ML22 |
| title: "Active learning query strategies for logistic regression on small tabular pools" |
| arxiv_id: null |
| venue: "ARC-Bench 2026" |
| paper_asset: null |
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| synthesis: | |
| Pool-based active learning is attractive when labels are expensive but a |
| modest unlabeled pool is available. For linear probabilistic models such as |
| logistic regression, classic query policies include uncertainty sampling, |
| margin sampling, query-by-committee (QBC), and expected-error reduction |
| style lookahead approximations. These methods are often taught as broadly |
| useful, but on small tabular datasets their gains can be inconsistent due to |
| model misspecification, class imbalance, and high variance from tiny initial |
| labeled sets. |
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| A useful CPU-bounded benchmark should compare these query strategies under a |
| fixed annotation budget and shared learner, rather than mixing in model |
| architecture changes. The core signal is label efficiency: how quickly test |
| performance improves as labels are acquired. Because final accuracy alone can |
| hide early-budget differences, the study should include both |
| accuracy-at-budget and a budget-curve summary metric such as area under the |
| learning curve. |
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| The experiment should therefore run multiple seeds, use at least two |
| sklearn-resident tabular classification datasets, and enforce identical |
| initialization, batch size, and stopping budget across strategies. A random |
| query baseline is essential to determine whether sophisticated policies |
| provide real value beyond chance selection. A passive full-data reference is |
| also useful for contextualizing attainable performance ceilings under the |
| same logistic-regression family. |
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| Practical constraints matter: expected-error reduction can be expensive if |
| naively recomputing retrains for every candidate. A tractable variant can |
| evaluate a capped candidate subset per round and use one-step hypothetical |
| label outcomes, preserving the spirit of expected future loss minimization |
| while staying within single-core runtime limits. |
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| *Do uncertainty, margin, QBC, and approximate expected-error reduction deliver better label efficiency than random sampling for logistic regression on small tabular pools under a fixed annotation budget?* |
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| hypotheses: |
| - id: H1 |
| statement: "At 30% labeling budget, at least 2 of {uncertainty_sampling, margin_sampling, qbc, expected_error_reduction} achieve higher mean test accuracy than random_sampling by ≥1.5 percentage points, averaged over ≥5 seeds." |
| measurable: true |
| - id: H2 |
| statement: "expected_error_reduction attains the highest mean area_under_learning_curve (AULC) on at least 1 of 3 datasets, and its AULC is not lower than random_sampling on any evaluated dataset." |
| measurable: true |
| - id: H3 |
| statement: "qbc outperforms uncertainty_sampling in mean test accuracy at early budget (10% labels) on at least 2 of 3 datasets." |
| measurable: true |
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| experiment_design: |
| research_question: "Which active learning query strategy provides the best label efficiency for logistic regression on small tabular pool-based classification tasks under fixed budgets?" |
| conditions: |
| - name: "random_sampling" |
| description: "Baseline pool-based active learning that queries unlabeled points uniformly at random each round." |
| - name: "uncertainty_sampling" |
| description: "Queries samples with highest predictive entropy from current logistic regression model." |
| - name: "margin_sampling" |
| description: "Queries samples with smallest top-2 class probability margin (binary: |p-0.5|)." |
| - name: "qbc" |
| description: "Query-by-committee with 5 bootstrapped logistic regression committee members; selects by vote entropy/disagreement." |
| - name: "expected_error_reduction" |
| description: "Approximate one-step expected-error reduction over a capped candidate subset per round using hypothetical labels and expected future log-loss reduction." |
| baselines: |
| - "random_sampling is the primary active-learning baseline" |
| - "passive_full_data logistic regression reference trained once on all labels for context" |
| metrics: |
| - name: "accuracy_at_budget" |
| direction: "maximize" |
| description: "Test accuracy at 30% labeled budget, averaged over seeds." |
| - name: "aulc" |
| direction: "maximize" |
| description: "Area under the test-accuracy-vs-labeled-fraction curve from initial seed set to 30% budget." |
| - name: "early_accuracy_10pct" |
| direction: "maximize" |
| description: "Test accuracy when 10% of pool labels have been acquired." |
| datasets: |
| - name: "breast_cancer" |
| source: "sklearn.datasets.load_breast_cancer" |
| - name: "wine" |
| source: "sklearn.datasets.load_wine" |
| - name: "digits" |
| source: "sklearn.datasets.load_digits" |
| compute_requirements: |
| gpu_required: false |
| estimated_wall_clock_sec: 600 |
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| rubric_path: "experiments/arc_bench/config/ml/rubrics/ML22.json" |
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